The finite-band solution of the Jaulent–Miodek equation
The finite-band solution of the Jaulent–Miodek equation
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DOI：
10.1063/1.531993
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发表时间：
1997-05
影响因子：
1.3
通讯作者：
Ruguang Zhou
中科院分区：
文献类型：
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作者：
Ruguang Zhou
给出了一种构造孤子方程有限带解的方法。我们以Jaulent-Miodek方程为例。利用Lax对的非线性化，将Jaulent-Miodek方程分解为两个有限维可积系统，并从r-矩阵的角度研究了它们的性质.然后通过求解这些有限维可积系统，得到了Jaulent-Miodek方程的有限带解。
A method to construct the finite-band solution to the soliton equation is presented. We take the Jaulent–Miodek equation as an example. With the use of the nonlinearization of Lax pair, the Jaulent–Miodek equation is decomposed into two finite-dimensional integrable systems, whose properties are studied from the view of an r-matrix. Then through solving these finite-dimensional integrable systems, the finite-band solution of the Jaulent–Miodek equation is obtained.